lecture 15: midterm review ima 101 basic mathematics 7/29/2010 1 ima101 basic mathematics
TRANSCRIPT
IMA101 Basic Mathematics
2
Midterm Information
Time and Location: Tuesday August 3, 2010 15:30 – 17:30 PC 401
7/29/2010
IMA101 Basic Mathematics
3
Things you may bring to the midterm:
YourselfA pencil and eraser A pen (blue/black ink only)One extra pen or pencilONE A4 sheet with whatever notes you want
to put on it (front and back)A wrist watch without calculator capabilitiesA clear plastic bottle of waterEnglish language dictionary
7/29/2010
IMA101 Basic Mathematics
4
Things you may not bring to the midterm:
You are not allowed to use a calculator the questions will be designed so that it will not be
necessaryYou are not allowed to use your cell phone
Please bring a wristwatch if you need to check the time
Food or drink (aside from water) The midterm is 2 hours long, please wait until the end
of the midterm to eat or drinkNotes or books aside from one A4 sheet of
paper or a dictionary
7/29/2010
IMA101 Basic Mathematics
5
Cheating
What is considered cheating?Cheating is:
Communicating with another student during the time of the exam
Using any external resources aside from the permitted single sheet of A4 notes
Looking at or attempting to use another student’s work
Behaving in a disruptive manner during the exam period
7/29/2010
IMA101 Basic Mathematics
6
Cheating
Why do people cheat? Don’t study enough Insecurity Fall behind on the material Worried about not getting a good grade
What happens if you cheat? You will be caught You will be expelled from the exam room and not
permitted to complete the exam See handbook (read in class) You will lose my respect
7/29/2010
IMA101 Basic Mathematics
8
Midterm Overview
Questions are based on homework, lectures, and assigned reading
Today: topics overviewTomorrow 2pm: question/answer session
Graded assignments will be returned during the Q/A
7/29/2010
IMA101 Basic Mathematics
9
Midterm format
10 questionsSimilar to what you have seen on the
homework Some word problems, some calculation, some
conceptualDivided equally among the topics
20% of the midterm from each week 10% from each lecture (lecture 2 included with
lecture 3)Note: some questions might combine topics
7/29/2010
IMA101 Basic Mathematics
10
Numbers: Lecture 2
Whole numbersOperations:
Addition Subtraction Multiplication Division Order of operations
Prime numbersPrime factorizationIntroduction to exponents
7/29/2010
IMA101 Basic Mathematics
11
Numbers: Lecture 3
Integers Negative numbers Ordering numbers Absolute value Exponents with integer
basesRational numbers
Fractions Equivalent fraction Simplification The reciprocal The least common
denominator (LCD)
Operations: Addition Subtraction Multiplication Division
Order of operations
7/29/2010
IMA101 Basic Mathematics
12
Numbers: Lecture 4
Decimals Dividing/multiplying
by 10 Rounding Fractions decimals Repeating decimals
Introduction to square roots Using prime
factorization
Operations: Addition Subtraction Multiplication Division
Order of operations
7/29/2010
IMA101 Basic Mathematics
13
Numbers: Lecture 5, 6
7/29/2010
Percents Percents fractions Percents decimals Repeating decimals and approximations percent = amount/ base
Ratios Proportions
cross-multiplicationUnit conversions
changeoriginal
originalnew%100
IMA101 Basic Mathematics
14
Weeks 1 & 2
7/29/2010
Number sets Relationship among them
Order of operations
IMA101 Basic Mathematics
15
Algebra: Lecture 7
7/29/2010
Solving linear equalities Isolate terms with the variable Multiply to get just the variable
Using the distributive propertyUsing the LCDWord problems
Distance = rate * time Equivalent rates Earning Interest
IMA101 Basic Mathematics
16
Algebra: Lecture 7
7/29/2010
Properties of equalitiesSolving linear equalities
Isolate terms with the variable Multiply to get just the variable
Using the distributive propertyUsing the LCDWord problems
Distance = rate * time Equivalent rates Earning Interest
IMA101 Basic Mathematics
17
Algebra: Lecture 8
7/29/2010
Properties of inequalities Multiplying by a negative
Solving linear inequalities On the number line Interval notation
Linear inequality word problemsEqualities with absolute valueInequalities with absolute valueAbsolute value word problems
IMA101 Basic Mathematics
18
Algebra: Lectures 9, 10
7/29/2010
Exponent properties (integers and rational n) Exponent of one Exponent of zero Negative exponent Product of two exponents (same base) Quotient of two exponents (same base) Raising an exponent to another exponent Distributing the exponent (different bases) Fraction shortcut Powers to know
IMA101 Basic Mathematics
19
Algebra: Lectures 9, 10
7/29/2010
Rational exponents and the nth rootRationalization (using special factorizations)Radicals
Properties & simplificationSolving quadratic equations
Factoring and distributing (FOIL) Zero-factor property Square root property Completing the square The quadratic formula When no solution exists
IMA101 Basic Mathematics
20
Algebra: Lecture 11
7/29/2010
Polynomials Distribution and factoring Special factorizations Pascal’s triangle and the binomial expansion
Rationals Properties simplification Constraining the variable
IMA101 Basic Mathematics
21
Algebra: Lecture 12
7/29/2010
Polynomial inequalities Zero factor property and number line
Rational inequality Don’t multiply by the denominator
IMA101 Basic Mathematics
22
TOPICS
Number sets: Whole numbers, integers, fractions, decimals Operations on numbers (order of operations) Percents: Converting to decimals/fractions, solving word problems Ratios and Proportions Unit Conversions Applications Linear equality and inequality Applications: rates, DTR, interest rates Absolute value equalities & inequalities Applications: Quadratic equations: zero factor property, square root property, completing the square, quadratic formula Integer and rational exponents/radicals: Simplifying expressions Polynomials: factoring with special factorization, binomial expansion Rationals: Simplifying rational expressions, operating on them Polynomial and rational inequalities with +/- number line 7/29/2010